The perimeter of the square is 32 dm. How many square decimeters does the area

The perimeter of the square is 32 dm. How many square decimeters does the area of a square increase if its perimeter is increased by 12 dm?

To complete this task, remember that a square is a quadrangle, in which all 4 sides are equal. Let’s calculate what the side of the square is, knowing that the perimeter is 32 decimeters.

32/4 = 8 dm.

Let’s calculate what is the area of a square with a side of 8 dm.

S = 8 * 8 = 64 dm².

Let’s increase the perimeter by 12 dm and find the side length of the resulting square.

32 + 12 = 44 dm.

44/4 = 11 dm.

Let’s calculate the area of the second square.

S2 = 11 * 11 = 121 dm².

Let’s calculate how many square decimeters the area has increased.

121 – 64 = 57 dm².

Answer: 57 dm².